{
  "id": "1411.6602",
  "version": "v1",
  "published": "2014-11-24T20:39:37.000Z",
  "updated": "2014-11-24T20:39:37.000Z",
  "title": "Relative equivariants under compact Lie groups",
  "authors": [
    "Patricia Hernandes Baptistelli",
    "Miriam Manoel"
  ],
  "comment": "14 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "In this work we obtain the general form of polynomial mappings that commute with a linear action of a relative symmetry group. The aim is to give results for relative equivariant polynomials that correspond to the results for relative invariants obtained in a previous paper [P.H. Baptistelli, M. Manoel (2013) Invariants and relative invariants under compact Lie groups, J. Pure Appl. Algebra 217, 2213{2220]. We present an algorithm to compute generators for relative equivariant submodules from the invariant theory applied to the subgroup formed only by the symmetries. The same method provides, as a particular case, generators for equivariants under the whole group from the knowledge of equivariant generators by a smaller subgroup, which is normal of finite index.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-11-24T20:39:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "13A50",
      "34C14"
    ],
    "keywords": [
      "compact lie groups",
      "relative invariants",
      "generators",
      "relative equivariant polynomials",
      "general form"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1411.6602H"
    }
  }
}